You are in-charge of an AIDS awareness campaign to be conducted through various camps in West Bengal for a month. For efficient implementation, the campaign is geographically segregated as North and South Bengal. In the planning phase, you realized there are multiple constraints that you will face while setting up the camps: fund constraint, number of male and female volunteers, space constraint etc.

The setup and monthly running costs of a single camp are Rs 20000 and Rs 27000 in North and South regions respectively. You are given a budget of 45 Lakhs to do this campaign. You also require trained volunteers to demonstrate the sensitive issues in an AIDS campaign. Numbers of male volunteers available are 2000 and 1600 in North and South regions respectively. Similarly numbers of female volunteers available are 1400 and 1000 in North and South regions respectively. To set up a camp in the North region, you need 15 male volunteers and 12 female volunteers. Similarly to set up a camp in South, you need 18 male volunteers and 9 female volunteers.

Also getting space in prime locations for better visibility has created trouble for you. After much persuasion, you are able to manage an overall space of 1,80,000 sq ft. and 1,50,000 sq ft. in North and South regions respectively. Also to setup a camp, you require 1500 sq ft. and 1400 sq ft. in North and South regions respectively.

You have to give an initial plan that should indicate how many camps you want to setup in each region so that maximum number of people can be reached through this campaign. A camp in North will have a reach of 2000 people and a camp in South will have a reach of 2500 people.

andare defined as the number of camps to set in North and South regions respectively. Usingandas decision variables, answer the following question:

Choose the correct expression of objective function